Solve 2512/12

$$\frac { 2512 } { 12 }$$

Evaluate

$$\frac{628}{3}\approx 209.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2512

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)2512}\\\end{array}$$

Since 2 is less than 12, use the next digit 5 from dividend 2512 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)2512}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 2512

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)2512}\\\end{array}$$

Find closest multiple of 12 to 25. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 25 to get reminder 1. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}02\phantom{4}\\12\overline{)2512}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)9}1\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 2512

$$\begin{array}{l}\phantom{12)}02\phantom{5}\\12\overline{)2512}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)9}11\\\end{array}$$

Since 11 is less than 12, use the next digit 2 from dividend 2512 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}020\phantom{6}\\12\overline{)2512}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)9}11\\\end{array}$$

Use the 4^{th} digit 2 from dividend 2512

$$\begin{array}{l}\phantom{12)}020\phantom{7}\\12\overline{)2512}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)9}112\\\end{array}$$

Find closest multiple of 12 to 112. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 112 to get reminder 4. Add 9 to quotient.

$$\begin{array}{l}\phantom{12)}0209\phantom{8}\\12\overline{)2512}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)9}112\\\phantom{12)}\underline{\phantom{9}108\phantom{}}\\\phantom{12)999}4\\\end{array}$$

Since 4 is less than 12, stop the division. The reminder is 4. The topmost line 0209 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 209.

$$\text{Quotient: }209 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {2} \cdot 157}{3} = 209\frac{1}{3} = 209.33333333333334$$